Operator-algebraic construction of quantum integrable models with bound states

par Prof. Daniela Cadamuro

vendredi 27 nov. 2020, 14:00 → 15:00 Europe/Paris

Zoom (Institut Camille Jordan)

We consider the construction of integrable quantum field theories in the operator-algebraic approach, which is based on quantum fields localized in infinitely extended wedge regions.
The existence of strictly localized observables can then be obtained by abstract C*-algebraic arguments. This avoids dealing with the functional analytic properties of pointlike interacting fields, which are difficult to control due to the convergence problem of the infinite series of their form factors. This approach has been successful for the construction of a class of models with scalar S-matrices and without bound states.
In extension of these results, we consider S-matrices with poles in the physical strip (``bound states''). We exhibit wedge-local fields in these models, which arise as a deformation of those in the non-bound state models by an additive term, the so called ``bound state operator''. This technique applies to a variety of theories, e.g., the Bullough-Dodd model, the Z(N)-Ising model, the affine Toda field theories and the Sine-Gordon model.